TSTP Solution File: SET194+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET194+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:45:59 EDT 2023
% Result : Theorem 3.91s 4.08s
% Output : Proof 3.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET194+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 11:52:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.91/4.08 SZS status Theorem for theBenchmark.p
% 3.91/4.08 SZS output start Proof for theBenchmark.p
% 3.91/4.08 Clause #0 (by assumption #[]): Eq (∀ (B C D : Iota), Iff (member D (union B C)) (Or (member D B) (member D C))) True
% 3.91/4.08 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (subset B C) (∀ (D : Iota), member D B → member D C)) True
% 3.91/4.08 Clause #5 (by assumption #[]): Eq (Not (∀ (B C : Iota), subset B (union B C))) True
% 3.91/4.08 Clause #7 (by clausification #[5]): Eq (∀ (B C : Iota), subset B (union B C)) False
% 3.91/4.08 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Not (∀ (C : Iota), subset (skS.0 0 a) (union (skS.0 0 a) C))) True
% 3.91/4.08 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (C : Iota), subset (skS.0 0 a) (union (skS.0 0 a) C)) False
% 3.91/4.08 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (subset (skS.0 0 a) (union (skS.0 0 a) (skS.0 1 a a_1)))) True
% 3.91/4.08 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (subset (skS.0 0 a) (union (skS.0 0 a) (skS.0 1 a a_1))) False
% 3.91/4.08 Clause #15 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (subset a C) (∀ (D : Iota), member D a → member D C)) True
% 3.91/4.08 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (D : Iota), member D a → member D a_1)) True
% 3.91/4.08 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (D : Iota), member D a → member D a_1) False)
% 3.91/4.08 Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.08 Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1)) True)
% 3.91/4.08 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : Iota),
% 3.91/4.08 Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a → member (skS.0 2 a a_1 a_2) a_1) False)
% 3.91/4.08 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a) True)
% 3.91/4.08 Clause #22 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 2 a a_1 a_2) a_1) False)
% 3.91/4.08 Clause #26 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C D : Iota), Iff (member D (union a C)) (Or (member D a) (member D C))) True
% 3.91/4.08 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), Iff (member D (union a a_1)) (Or (member D a) (member D a_1))) True
% 3.91/4.08 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Eq (Iff (member a (union a_1 a_2)) (Or (member a a_1) (member a a_2))) True
% 3.91/4.08 Clause #29 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (union a_1 a_2)) True) (Eq (Or (member a a_1) (member a a_2)) False)
% 3.91/4.08 Clause #32 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (union a_1 a_2)) True) (Eq (member a a_1) False)
% 3.91/4.08 Clause #34 (by superposition #[32, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.91/4.08 Or (Eq (member (skS.0 2 a a_1 a_2) (union a a_3)) True) (Or (Eq (subset a a_1) True) (Eq False True))
% 3.91/4.08 Clause #56 (by clausification #[34]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (member (skS.0 2 a a_1 a_2) (union a a_3)) True) (Eq (subset a a_1) True)
% 3.91/4.08 Clause #57 (by superposition #[56, 22]): ∀ (a a_1 : Iota), Or (Eq (subset a (union a a_1)) True) (Or (Eq (subset a (union a a_1)) True) (Eq True False))
% 3.91/4.08 Clause #61 (by clausification #[57]): ∀ (a a_1 : Iota), Or (Eq (subset a (union a a_1)) True) (Eq (subset a (union a a_1)) True)
% 3.91/4.08 Clause #62 (by eliminate duplicate literals #[61]): ∀ (a a_1 : Iota), Eq (subset a (union a a_1)) True
% 3.91/4.08 Clause #63 (by superposition #[62, 11]): Eq True False
% 3.91/4.08 Clause #69 (by clausification #[63]): False
% 3.91/4.08 SZS output end Proof for theBenchmark.p
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